Nonlinear Partial Differential Equations for Future Applications

Sendai, Japan, July 10–28 and October 2–6, 2017

Shigeaki Koike, Hideo Kozono, Takayoshi Ogawa, Shigeru Sakaguchi (Herausgeber)

Buch | Softcover

261 Seiten

2022 | 1st ed. 2021
Springer Verlag, Singapore
978-981-334-824-0 (ISBN)

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This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan. The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation for viscous compressible Navier–Stokes equations, new estimates for a compressible Gross–Pitaevskii–Navier–Stokes system, singular limits for the Keller–Segel system in critical spaces, the dynamic programming principle for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems, and new insight on topology of nodal sets of high-energy eigenfunctions of the Laplacian. This book aims to exhibit various theories and methods that appear in the study of nonlinear partial differential equations.

R. Denk, An Introduction To Maximal Regularity For Parabolic Evolution Equations.- Y. Kagei, On stability and bifurcation in parallel flows of compressible Navier-Stokes equations.- J. Fan and T. Ozawa, Uniform regularity for a compressible Gross-Pitaevskii-Navier-Stokes system.- T. Ogawa, Singular Limit Problem to the Keller-Segel System in Critical Spaces and Related Medical Problems ̶ An Application of Maximal Regularity.- A. Swiech, HJB Equation, Dynamic Programming Principle, and Stochastic Optimal Control.- S. Koike, Regularity of solutions of obstacle problems – old & new.- A. Enciso, D. Peralta-Salas and F. Torres De Lizaur, High-Energy Eigenfunctions of the Laplacian on the Torus and The Sphere with Nodal Sets of Complicated Topology.

Erscheinungsdatum	26.04.2022
Reihe/Serie	Springer Proceedings in Mathematics & Statistics ; 346
Zusatzinfo	1 Illustrations, black and white; VII, 261 p. 1 illus.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie
Schlagworte	Dynamic programing principle • Eigen function • fluid mechanics • Gross-Pitaevskii • Keller-Segel system • maximal regularity • navier-stokes equations • obstacle problems • PDEFA 2017 • stochastic control
ISBN-10	981-334-824-0 / 9813348240
ISBN-13	978-981-334-824-0 / 9789813348240
Zustand	Neuware